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Date  Contents 
1  0905 
Imagine UBC: Firstday orientation 
0907  outline: homepage, grading, quiz, Webwork, textbook, piazza, MLC, office hours
§1.11.2 tangent and instantaneous velocity, Ex 1 (briefly as motivation) §1.3 definition of limit, Ex 1 

2  0912  §1.3 Ex 2, 3, jump, one sided limits, Ex 4, oscillation, Ex
5,
5', blow up, Ex 6 §1.4 limit laws, Ex 13 
0914  §1.4 cancellation of factors going to zero in a quotient,
Ex 46,
squeeze theorem, Ex 78 §1.5 definition of limit at ∞, Ex 15 

3  0919  §1.5 nonexistence of limit at ∞, Ex 6, squeeze
theorem at ∞, Ex 7 §1.6 continuity and onesided continuity, Ex 14, arithmetic of continuous functions, Ex 5, composition of continuous functions, Ex 67 
0921  §1.6 intermediate value theorem, Ex 810, bisection method,
Ex 11 §2.12.3 definition of derivative, Ex 1 Quiz 1 

4  0926  §2.12.3 more definitions, Ex 25, tangent, Ex 6, a differentiable
function must be continuous, Ex 711 §2.4 linearity rule, Ex 1, product rule 
0928  §2.4 and 2.6, Ex 23, Extensions of product rule, Ex 47,
quotient rule,
Ex 89 (we skip §2.5)
§2.7 exponential functions, logarithmic functions, derivative of a^x 

5  1003 
§2.7 example for derivative of exponential functions §2.8 trigonometric functions, sin x < x < tan x, derivatives of sin, cos and tan, examples, trig functions on unit circle, formula for sin(x+y) §2.9 chain rule, Ex 1 
1005 
§2.9 alternative form and heuristic of chain rule, Ex 27 Quiz 2 

6  1010 
§0.6 inverse functions §2.10 the natural logarithm 
1012 
§2,10 continued §2.11 implicit differentiation notes for 0.6, 2.10 and 2.11 

7  1017 
§2.12 inverse trig functions and their derivatives §3.1 velocity and acceleration 
1019 
§3.1 Ex 2 continued §3.3 differential equations, exponential decay and growth, carbon dating, Newton's rule of cooling Quiz 3 

8  1024 
§3.3.3 population growth §3.2 related rates 
1026 
§3.4 constant, linear and quadratic approximations,
coefficient formula for Taylor polynomials 

9  1031 
§3.4 Taylor polynomials for e^x, ln x, cos x and sin x. Remainder formula for R_0(x) using Mean Value Theorem (MVT), error bound and over/under estimate for R_0. (We skip percentage error of §3.4.7 and derivation of remainder formula of §3.4.9) 
1102 
§3.4 remainder formula for R_n(x), error bound and
over/under estimate for R_n. §3.5.1 local and global maximum and minimum. Quiz 4 

10  1107 
§3.5.13.5.2 first and second derivative tests for
local max/min, critical and singular points, finding global maximum and
minimum. 
1109 
§3.5.2 one more example on global extrema §2.13 Rolle's theorem, Mean value theorem 

11  1114 
§3.6.13.6.3 sketching the graph of y=f(x) using info
of f, f' and f'' 
1116 
3.6.33.6.6 graphs of odd/even and periodic functions, examples
of global max/min Quiz 5 

12  1121 
3.6.6 one more example on graphing 3.5.3 word problems for optimization, global max/min on open intervals, Ex 13 
1123 
3.7 l'Hôpital's rule, examples 

13 
1128 
Two examples on 3.7, one example on 3.5.3 4.1 antiderivative 
1130 
4.1 examples comments on final exam, review 2016 final exam, teaching evaluation 